Hello Silvia,
Yes, this is made by VSL, the model is called 'Lubeck' and the design is registered under the number 3247/17.
It is illustrated in the catalogue 'Cristaux de Fantaisie' of 1926 but it could be as early as 1920.
The design on your vase is also called 'Taille Riche' and can be found back on bowls, decanter's, vases, glasses etc... basically on everything. It was a very popular design that was still used in the 90ies, but only on decanter's and glasses. I need to check if it's was still used later on. This rose bowl though, is typical of the first quarter of the 20th century.
The rims on these pique-fleurs come in an uncut and like yours, cut version. On the uncut version a copper grill was used, on the cut ones a pressed glass grill, marked Val St Lambert, that fits in the vase, so the cut design is visible. Either grill can be found at flea- and antique markets and they pop up every now and then on the internet, if you're looking for a replacement, but make sure you'll get the right size though.